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Finding the Fourth Proportional to 25,301.57, 34,915.22 and 13,970.82

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Solution

The fourth proportional to 25,301.57, 34,915.22 and 13,970.82 is: 19,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,301.57 : 34,915.22 = 13,970.82 : x
  2. Step 2: Convert to fraction form
    25,301.57/34,915.22 = 13,970.82/x
  3. Step 3: Cross multiply
    25,301.57x = 34,915.22 × 13,970.82
  4. Step 4: Simplify right side
    25,301.57x = 487,794,253.88
  5. Step 5: Solve for x
    x = 487,794,253.88/25,301.57
  6. Step 6: Final answer
    x = 19,279.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.